Hidden complexities in multi-time correlations of open quantum systems

Talk

The advancement of quantum technology relies heavily on an accurate understanding of the unavoidable interactions between quantum systems and their environment. For a complete description of open quantum systems, it is generally not sufficient to consider only their time evolution; rather, all experimentally accessible multi-time correlations must also be taken into account. These correlations, however, generically entail the same exponential complexity as many-body quantum systems and can therefore give rise to a plethora of nontrivial phenomena.

In this talk, I will provide a brief overview of my work centered on this complexity, including research on the optimal control of non-Markovian open quantum systems [1–2], tensor-network methods for many-body open quantum systems [3–4], and measurement-induced non-stabilizerness phase transitions [5–6]. I will conclude by outlining proposed research directions and potential collaborations at IQOQI Innsbruck aimed at characterizing temporal correlations in current quantum information processing devices and developing protocols that exploit these correlations to enhance their performance.

[1] GE Fux, et al. Phys. Rev. Lett. 126 (20), 200401 (2021) https://doi.org/10.1103/PhysRevLett.126.200401
[2] EP Butler, et al. Phys. Rev. Lett. 132 (6), 060401 (2024) https://doi.org/10.1103/PhysRevLett.132.060401
[3] GE Fux, et al. Phys. Rev. Res. 5 (3), 033078 (2023) https://doi.org/10.1103/PhysRevResearch.5.033078
[4] GE Fux, et al. J. Chem. Phys. 161, 124108 (2024) https://doi.org/10.1063/5.0225367
[5] GE Fux, et al. Phys. Rev. Res. 6 (4), L042030 (2024) https://doi.org/10.1103/PhysRevResearch.6.L042030
[6] GE Fux, et al. arXiv 2410.09001 (accepted Phys. Rev. Lett.) https://doi.org/10.48550/arXiv.2410.09001

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